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Finding the Fourth Proportional to 180.79, 269.72 and 154.81

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Solution

The fourth proportional to 180.79, 269.72 and 154.81 is: 230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.79 : 269.72 = 154.81 : x
  2. Step 2: Convert to fraction form
    180.79/269.72 = 154.81/x
  3. Step 3: Cross multiply
    180.79x = 269.72 × 154.81
  4. Step 4: Simplify right side
    180.79x = 41,755.35
  5. Step 5: Solve for x
    x = 41,755.35/180.79
  6. Step 6: Final answer
    x = 230.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.